65672900 has 36 divisors (see below), whose sum is σ = 144938640. Its totient is φ = 25821600.

The previous prime is 65672899. The next prime is 65672909. The reversal of 65672900 is 927656.

65672900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65672909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335 + ... + 11465.

Almost surely, 2^65672900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65672900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72469320).

65672900 is an abundant number, since it is smaller than the sum of its proper divisors (79265740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65672900 is a wasteful number, since it uses less digits than its factorization.

65672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 65672900 is about 8103.8817859098. The cubic root of 65672900 is about 403.4552750765.

The spelling of 65672900 in words is "sixty-five million, six hundred seventy-two thousand, nine hundred".